For those of you who have sponsored a student teacher or for new teachers:

What math topics, concepts or ideas do you wish your student teacher wasmore knowledgeable about before student teaching?

For new teachers, what math topics, concepts or ideas did you learn in yourfirst year that you wished you had learned in your preparation to become ateacher?

I?m not asking about education strategies like classroom management butrather mathematical content. My student teachers frequently lament that thetopics in the math courses in college are so far removed from what theyteach that they feel underprepared in content. I?m compiling a descriptionof topics that could be used to form a new pre-service course connectingcollege math to HS topics. If you teach a course like this for pre-serviceteachers, I?d be happy to get your feedback, too.